Your goal in the first Palace is to secure the infiltration route early, then schedule the Calling Card and boss day. Do not spread Palace progress across too many free days if you can avoid it.
Calendar Logic
Stage
Action
First visits
Learn weaknesses, All-Out Attacks, and SP pressure
Mid route
Push meaningful progress in each Palace day
Route secured
Leave time for Calling Card and boss
After Palace
Return calendar time to Confidants and social stats
Common Problems
Problem
Adjustment
SP runs out
Use weaknesses, guns, items, and fewer wasteful casts
Too many returns home
Plan deeper pushes instead of tiny progress chunks
Deadline anxiety
Secure the route before the final days
Boss feels rough
Check gear, healing items, and Persona resistances