fix(zk_toolbox): Remove prover db from server init #18557

Job	Run time
Get changed files	28s
CI for Core lint Components	0s
CI for Docs	0s
CI for Prover Components	0s
Build prover images	0s
Build prover images with avx512 instructions	0s
CI for Core Components / integration-tests	23m 22s
CI for Core Components / loadtest (OLD)	16m 13s
CI for Core Components / loadtest (NEW)	15m 58s
CI for Core Components / unit-tests	24m 34s
Build contract verifier / Prepare contracts	9m 4s
Build core images / Prepare contracts	9m 10s
CI for Common Components (prover or core) / build	10m 8s
Build TEE Prover images / Build and Push Docker Images	5m 57s
CI for Core Components / lint / code_lint	12m 41s
Build contract verifier / Build and Push Docker Images (contract-verifier, linux/amd64)	5m 39s
Build contract verifier / Build and Push Docker Images (verified-sources-fetcher, linux/amd64)	2m 48s
Build core images / Build and Push Docker Images (server-v2, linux/amd64)	3m 33s
Build core images / Build and Push Docker Images (external-node, linux/amd64)	3m 37s
Build core images / Build and Push Docker Images (snapshots-creator, linux/amd64)	3m 8s
Build core images / Build and Push Docker Images (external-node, linux/arm64)	3m 36s
Build core images / Create release manifest	0s
Build contract verifier / Create release manifest	0s
Github Status Check	2s
	2h 29m 58s

Provide feedback