ci: enable integrations tests polkadot-sdk master again (#1846) #5415

Job	Run time
Check unused dependencies	34s
Cargo fmt	22s
Cargo check	5m 41s
Check documentation and run doc tests	4m 27s
Cargo clippy	3m 27s
Cargo check (WASM)	1m 20s
Cargo clippy (WASM)	45s
Test (no_std)	1m 46s
Test chainhead backend	14m 10s
Test (Light Client)	3m 27s
Test (WASM)	11m 45s
Test (Native)	13m 44s
	1h 1m 28s

Provide feedback