If you cast the 2024 version of Hunter's Mark, and it's still active, literally anything you do that has any type of Attack Roll gets the benefit, unless explicitly prohibited.
Extra Attacks? Get the bonus Hunter's Mark damage.
Bonus Action attack from an Off-hand weapon? Get the bonus Hunter's Mark Damage.
Reaction/Opportunity Attack from retreating foe? Gets the bonus Hunter's Mark damage.
That said, if you're using True Strike, you're using a Magic Action to cast the spell, and won't get the Extra Attack on that turn.
Picking this post just to take advantage of your good explanation.
Since True Strike, Booming Blade, and Green Flame Blade are weapon attacks that happen to use magic and deal magical damage and extra magical damage at Level 5 [...]
I'm in the group of people who consider True Strike, Booming Blade, and Green Flame Blade as weapon attacks, so I think they don't include spell's damage rolls before level 5.
At higher levels (5+), the magical damage (the spell's damage rolls) would come from Radiant, Thunder, or Fire damage.
@armando_doval Is the attack made as part of Booming Blade magical? It's delivered as part of a spell, but has its "usual effects" and is a prerequisite for the spell to work. @JeremyECrawford The booming blade spell isn't intended to make the required weapon attack magical.
@curbstompt13 is the weapon damage from green-flame blade considered magical? @JeremyECrawford Only if the weapon itself is magical
Mercifully, this discussion is moot in 2024 rules, as they got rid of the idea of weapon damage being magical or nonmagical for purposes of resistance. Now, creatures with bludgeoning resistance just have blanket bludgeoning resistance, and most spells that would have previously made your weapon "magical" change the damage type to something like force or radiant (such as True Strike). This can create some crossover difficulty with monsters and abilities made in 2014, though, in which case it's up to the DM to adjudicate.
Sorry I forgot that with War Caster a Warlock can use both Wand of the War Mage and Rod of the Pact Keeper for a total of +6 to Spell Attacks. With the Robe they can get up to +8. But that is just Warlocks.
I considered Rod of the Pact Keeper, but what is the weapon used for True Strike in that case? Maybe a Thri-Kreen Warlock using secondary arms for either Light Weapons or juggling Spell Attack items? Multiclassing a Thri-kreen Wizard/Warlock could replace the Robe of the Archmagi with an Arcane Grimoire and reach up to +9, correct? And +12 if Magic Weapon bonuses stack? [...]
Also, as mentioned in the next reply, "if you want to allow it to be both a Spell Attack and a Weapon Attack, there are issues":
[...] In order for an attack to be both a Spell Attack and a Weapon Attack, it must fit both definitions in the Rules Glossary. Once that is the case, the attack bonus is equal to proficiency bonus (if proficient) plus spellcasting modifier and, at the same time, it is equal to proficiency bonus (if proficient) plus strength modifier (if melee) or Dexterity modifier (if ranged).
Before we get to any specific spells, there is already an impossible contradiction. The attack bonus cannot be calculated by both of these formulas at the same time.
Now arguments for True Strike being only a Weapon Attack:
It fits both definitions in the Rules Glossary, if it were a Spell Attack, you wouldn't replace Strength or Dexterity as a modifier. These only apply to Weapon Attacks.
All of the wording about the actual attack describes a Weapon Attack. If they had any intention of it being a spell attack, they could have said make a spell attack with the weapon and removed an entire sentence in a book where space was at a premium.
The range of the spell is Self, not touch, or X feet. The target of the spell is the Spellcaster who is then empowered to make a modified Weapon Attack. This is no different than Haste cast on the caster to allow them to use an extra action. The modified Weapon Attack is an effect of the spell cast on the caster. The target of the Weapon Attack is not the target of the spell.
Sage Advice 129 states: "...What about unusual cases like the green-flame blade spell? The spell, which appears in the Sword Coast Adventurer’s Guide, tells you to make a melee attack with a weapon. Look at the table above, and you see that, under normal circumstances, you use your Strength modifier when you make a melee weapon attack. It doesn’t matter that a spell told you to attack." True Strike use the same language, "make an attack with make one attack with the weapon". All of 5e is still valid until it is updated, including Sage Advice.
Arguments for True Strike being also a Spell Attack:
If I only examine the Rules Glossary and not any other part of the rule book and official rulings on how to interpret the rules, it fits both definitions.
That said, if you want to allow it to be both a Spell Attack and a Weapon Attack, there are issues.
As mentioned, the attack formula conflicts. I would recommend allowing the character to pick whether to calculate it as a Spell Attack or a Weapon Attack. This would change the formula, but it would still be considered "both". Modifiers that apply to spell attacks would only affect the spell attack formula and modifiers to weapon attacks would only apply to weapon attacks. This would diminish the value of magic weapons as you could combine True Strike with a Wand of the Warmage to get bonuses to attack and damage with all weapons.
Attacking (most likely using a ranged weapon outside of the AoE) into an Antimagic Field would negate a Spell Attack outright whereas as a Weapon Attack only, the modifications from the spell would be negated but the normal weapon attack would resolve as normal. I don't know what the RAW effect would be, I think it would be that the attack uses the normal damage and uses the normal attribute modifiers for attack and damage.
If True Strike is a Spell Attack, it is blocked by a Globe of Invulnerability while as a Weapon Attack is not. If it is both, it should always take the worse result. There may be other interactions where an effect applies to one type of attack and not another, but if an attack is both, it would be affected by effects that affect both, regardless of the formula used to calculate the attack.
As mentioned, a Wand of the War Mage grants its bonus to attacks and damage, but it also allows any True Strike attacks, such as with a Long Bow, to ignore half cover. The bonus to attacks scenario also applies to All Purpose Tools, Amulet of the Devout, Arcane Grimoire, Bloodwell Vial, Fate Dealer's Deck, Moon Sickle, Rod of the Pact Keeper, Rythm-maker's Drum. In addition, while most of these are required to be held, the Amulet of the Devout, Bloodwell Vial, Jester's Mask are just worn, freeing up your hands.
The Spell Sniper feat will allow you to bypass cover on your ranged weapon attacks with True Strike and allow you to fire within 5ft of an enemy instead of requiring Sharpshooter.
Those are the issues I could think of. There could be more. I don't recommend going down the dual status route.
Whether a True Strike with a Longsword deals magical slashing damage or not is a different argument than whether a True Strike with a Longsword counts as a weapon and/or spell attack are two different discussions. The former has been mooted by 2024 rules. The latter, ironically, was created by 2024 rules, since the 2014 True Strike didn't involve making an attack.
Picking this post just to take advantage of your good explanation.
If I'm not wrong, Hunter's Mark (or Hex) could also interact with the Pole Strike benefit from Polearm Master or Cleave, am I right?
Maybe Polearm Master is the most debatable one? Shillelagh and Pole-Master, do work together according to RAW
Yes the extra attack of Cleave or Polearm Master can benefit from Hunter's Mark or Hex extra damage.
Mercifully, this discussion is moot in 2024 rules, as they got rid of the idea of weapon damage being magical or nonmagical for purposes of resistance. Now, creatures with bludgeoning resistance just have blanket bludgeoning resistance, and most spells that would have previously made your weapon "magical" change the damage type to something like force or radiant (such as True Strike). This can create some crossover difficulty with monsters and abilities made in 2014, though, in which case it's up to the DM to adjudicate.
(EDIT: I'm not trying to rehash this debate!)
Well... not entirely moot, in my opinion.
As discussed in Is the attack from True Strike both a Weapon and Spell Attack? or True strike and Arcane Grimoire stack?, if you consider the attack from True Strike to be a spell attack, then you can benefit from magic items like Arcane Grimoire, Robe of the Archmagi, Rod of the Pact Keeper, or Wand of the War Mage.
And it's more powerful if you consider it's both a weapon attack and a spell attack, and you use a Magic Weapon +X:
Also, as mentioned in the next reply, "if you want to allow it to be both a Spell Attack and a Weapon Attack, there are issues":
Whether a True Strike with a Longsword deals magical slashing damage or not is a different argument than whether a True Strike with a Longsword counts as a weapon and/or spell attack are two different discussions. The former has been mooted by 2024 rules. The latter, ironically, was created by 2024 rules, since the 2014 True Strike didn't involve making an attack.
Oh, ok RWinnie, I misunderstood you then, sorry.