fix(testutil/integration): use only one context in integration test framework #75181

Job	Run time
split-test-files	17s
test-integration	9m 29s
test-sim-nondeterminism	5m 9s
test-system	13m 24s
test-clientv2	43s
test-core	33s
test-coretesting	29s
test-depinject	43s
test-errors	46s
test-math	40s
test-schema	43s
test-collections	33s
test-schema-testing	32s
test-collections-protocodec	25s
test-cosmovisor	50s
test-indexer-postgres	44s
test-simapp	43s
test-orm	40s
test-simapp-v2	5m 54s
test-confix	47s
test-hubl	43s
test-log	47s
test-store-v2	1m 7s
test-x-accounts	37s
test-x-accounts-base	25s
test-store	56s
test-x-accounts-lockup	36s
test-x-accounts-multisig	21s
test-x-nft	56s
test-x-tx	35s
test-x-authz	38s
test-x-bank	1m 37s
test-x-circuit	38s
test-x-distribution	40s
test-x-evidence	48s
test-x-feegrant	46s
test-x-gov	39s
test-x-group	39s
test-x-mint	37s
test-x-params	35s
test-x-protocolpool	38s
test-x-slashing	40s
test-x-staking	50s
test-x-upgrade	51s
test-x-consensus	46s
test-x-epochs	50s
tests (00)	7m 47s
tests (01)	3m 40s
tests (02)	3m 25s
tests (03)	4m 15s
repo-analysis	2m 4s
	1h 24m 30s

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