I have a lore bard who multi-classed into sorcerer after level 4 and went back to leveling as a bard. When he reaches 10th level bard (11th level spell caster) he will have 6th level slots. Can he take 6th level magical secrets because of this? The PHB states "Choose two Spells from any class, including this one. A spell you choose must be of a level you can cast, as shown on the Bard table, or a cantrip." but the way multi-classing works means that he no longer uses the bard table and uses the spell caster multi-class table instead, right?

I have a Lore bard who multi-classed into sorcerer after level 4 and went back to leveling as a bard. When he reaches 10th level bard (11th level spellcaster), he will have 6th level slots. Can he take 6th-level spells for Magical Secrets because of this?

The PHB states "Choose two spells from any class, including this one. A spell you choose must be of a level you can cast, as shown on the Bard table, or a cantrip." But the way multi-classing works means that he no longer uses the bard table and uses the spellcaster multiclass table instead, right?