Crystalline Crawler has at least six +1/+1 counters on it.
Bright-Palm does not have summoning sickness and cannot be blocked and killed by an opponent.
Steps
Declare Bright-Palm as an attacker.
Bright-Palm triggers, doubling the number of +1/+1 counters on Crystalline Crawler.
Move to your postcombat main phase.
Activate Crystalline Crawler's first ability five times by removing five +1/+1 counters from it, adding ({3} magic symbol) ({R} magic symbol) ({R} magic symbol) .
Activate Aggravated Assault by paying ({3} magic symbol) ({R} magic symbol) ({R} magic symbol) , causing you to untap all creatures you control and to get an additional combat and main phase after this one.