To preface, this is for D&D 5e.
This is building upon the answer from this question, since it did not address my issue completely. I am a Fighter 2 Wizard 10, and am currently casting the spell Mordenkainen's Private Sanctum which has a casting time of 10 minutes, or 100 turns.
While focusing on the casting, our party was ambushed by monsters. I decided that instead of fighting, I would continue to cast the spell, using my action every turn as described by the Longer Casting Times section of the PHB.
"...you must spend your action each turn casting the spell, and you must maintain your concentration while you do so. If your concentration is broken, the spell fails, but you don't expend a spell slot. If you want to try casting the spell again, you must start over."
I am a Necromancy Wizard, and am using my bonus action to control my animated undead. However, I also have the Action Surge ability from my fighter multiclass dip, which allows me to take another action on my turn. Can I move and use my action surge to attack with a cantrip or weapon, all while still casting Private Sanctum? If so, can I also cast a spell with a casting time of one action while still casting Private Sanctum using this ability?