I'll elaborate on the issue I am having.

So, I have a multi-class Artificer4/Wizard3.  This combination of classes grants me three 1st-level spell slots, three s2nd-level spell slots, and two 3rd-level spell slots.  As a Wizard, if not Artificer, since I have third-level spell slots I should have access to the 3rd level spells.  Rules as Written, I can get them at level-up, because of the asymmetrical leveling I did.  Even if that wasn't, I should be able to scribe 3rd-level spells that I find into my spellbook.

However, the character builder does not allow this.  Probably, because the character builder erroneously thinks I only have access to 2nd-level spells, because I am 'only a 3rd level wizard.'  This is despite the fact that the character builder already grants me 3rd-level spell slots.

Quote from Stephen_Haluska >>

I'll elaborate on the issue I am having.

So, I have a multi-class Artificer4/Wizard3.  This combination of classes grants me three 1st-level spell slots, three s2nd-level spell slots, and two 3rd-level spell slots.  As a Wizard, if not Artificer, since I have third-level spell slots I should have access to the 3rd level spells.  Rules as Written, I can get them at level-up, because of the asymmetrical leveling I did.  Even if that wasn't, I should be able to scribe 3rd-level spells that I find into my spellbook.

However, the character builder does not allow this.  Probably, because the character builder erroneously thinks I only have access to 2nd-level spells, because I am 'only a 3rd level wizard.'  This is despite the fact that the character builder already grants me 3rd-level spell slots.

This isn't an error. The multiclassing rules dictate your combine spellcasting class levels determine the slots, but you prepare/add spells by individual class. As a 3rd level Wizard your highest spells you get to add or prepare would be 2nd level. 

From the rules, with some highlighting added:

https://www.dndbeyond.com/sources/basic-rules/customization-options#Spellcasting

Spells Known and Prepared. You determine what spells you know and can prepare for each class individually, as if you were a single-classed member of that class. If you are a ranger 4/wizard 3, for example, you know three 1st-level ranger spells based on your levels in the ranger class. As 3rd-level wizard, you know three wizard cantrips, and your spellbook contains ten wizard spells, two of which (the two you gained when you reached 3rd level as a wizard) can be 2nd-level spells. If your Intelligence is 16, you can prepare six wizard spells from your spellbook.

Each spell you know and prepare is associated with one of your classes, and you use the spellcasting ability of that class when you cast the spell. Similarly, a spellcasting focus, such as a holy symbol, can be used only for the spells from the class associated with that focus.

Thank you for the response and helping me see my oversight.  It's much appreciated.