Test 1. Pool access with team context

• Create pool with team assignment
• Verify team member can use team pool
• Verify non-team member cannot use team pool

Test 2. Global pool access with team context

• Create pool without team assignment
• Verify team member can use the pool
• Verify non-team member can use the pool

Test 3. Pool creation with team

• Set pool with team via API/CLI
• Verify error when multi_team=False but team specified