fix(nodebuilder/tests): fix integration test flakes due to slow header syncing #12897

Job	Run time
yamllint	10s
Markdown Lint	14s
setup	4s
hadolint / hadolint	19s
go-ci / Setup	2s
goreleaser	0s
upload-docs	0s
go-ci / Lint Imports	18s
go-ci / Go Mod Tidy Check	48s
go-ci / Go Mod Parity Check	33s
go-ci / Lint	4m 1s
go-ci / Unit Tests Coverage (macos-14)	1m 30s
go-ci / Unit Tests Coverage (ubuntu-latest)	6m 43s
go-ci / Integration Tests / Da Tests Sync	4m 21s
go-ci / Integration Tests / Integration Tests Blob	4m 21s
go-ci / Integration Tests / Integration Tests ND	14m 19s
go-ci / Integration Tests / Integration Tests API	14m 21s
go-ci / Integration Tests / Integration Tests Fraud	4m 14s
go-ci / Integration Tests / Integration Tests Reconstruction	4m 13s
go-ci / Integration Tests / Integration Tests Share	4m 9s
go-ci / Integration Tests / Integration Tests p2p	4m 14s
go-ci / Integration Tests / Integration Tests Sync	4m 53s
go-ci / Integration Tests / Integration Tests Pruning	14m 16s
	1h 28m 3s

Provide feedback