test(api): Add more `TxSender` tests #18491

Job	Run time
Get changed files	27s
CI for Core lint Components	0s
CI for Docs	0s
CI for Prover Components	0s
Build prover images with avx512 instructions	0s
Build prover images	0s
CI for Core Components / integration-tests	24m 47s
CI for Core Components / loadtest (OLD)	18m 17s
CI for Core Components / unit-tests	32m 34s
CI for Core Components / loadtest (NEW)	18m 43s
Build core images / Prepare contracts	9m 40s
Build contract verifier / Prepare contracts	10m 20s
CI for Common Components (prover or core) / build	9m 57s
Build TEE Prover images / Build and Push Docker Images	6m 20s
CI for Core Components / lint / code_lint	12m 52s
Build core images / Build and Push Docker Images (server-v2, linux/amd64)	5m 5s
Build core images / Build and Push Docker Images (external-node, linux/amd64)	5m 13s
Build core images / Build and Push Docker Images (snapshots-creator, linux/amd64)	3m 6s
Build core images / Build and Push Docker Images (external-node, linux/arm64)	7m 20s
Build contract verifier / Build and Push Docker Images (contract-verifier, linux/amd64)	5m 24s
Build contract verifier / Build and Push Docker Images (verified-sources-fetcher, linux/amd64)	2m 41s
Build contract verifier / Create release manifest	0s
Build core images / Create release manifest	0s
Github Status Check	1s
	2h 52m 47s

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