feat(prover): Extract keystore into a separate crate #16607

Job	Run time
Get changed files	51s
CI for Core Components	0s
CI for Core lint Components	0s
CI for zk_toolbox	0s
CI for Docs	0s
Build contract verifier	0s
Build core images	0s
Build TEE Prover images	0s
CI for Prover Components / lint	6m 2s
CI for Prover Components / unit-tests	11m 30s
CI for Common Components (prover or core) / build	8m 20s
Build prover images / Build and Push Docker Images (witness-generator)	8m 28s
Build prover images / Build and Push Docker Images (prover-gpu-fri)	11m 40s
Build prover images / Build and Push Docker Images (witness-vector-generator)	9m 29s
Build prover images / Build and Push Docker Images (prover-fri-gateway)	7m 19s
Build prover images / Build and Push Docker Images (prover-job-monitor)	7m 28s
Build prover images / Build and Push Docker Images (proof-fri-gpu-compressor)	11m 42s
Build prover images with avx512 instructions / Build and Push Docker Images (witness-generator)	8m 9s
Build prover images / Copy images between docker registries	0s
Github Status Check	1s
	1h 30m 59s

Provide feedback