Preserving entities over rounds while still switching teams

working on a strange entity setup, and it's not too easy to figure out.

I'm going for 2 rounds per game. 1st round red scores x times, and a math_counter keeps track of the #. Then 2nd round I want to switch the teams, preserve the math_counter from the previous round, and then based on how many points new red team scores, the winner will be decided on who accumulated more points/the biggest #.

so my trouble areas are:
#1: teamswitching between rounds (is this possible?)
#2: entities being preserved through rounds (??)

Thanks. Set it up as a multi-stage map with invisible team_control_points and that did the job!

The key settings were in the game_round_win "Force map reset" = no and "Switch teams on map win?" = yes which allowed me to switch teams in between rounds, while still continuing the map and preserving the entities.

then used another game_round_win with "Force map reset" = yes for the second round which restarts the whole thing.