fix(nodebuilder/tests): fix integration test flakes due to slow header syncing #12895

Job	Run time
yamllint	10s
setup	5s
Markdown Lint	11s
hadolint / hadolint	12s
go-ci / Setup	4s
goreleaser	0s
upload-docs	0s
go-ci / Lint Imports	21s
go-ci / Lint	4m 3s
go-ci / Go Mod Parity Check	30s
go-ci / Unit Tests Coverage (macos-14)	1m 30s
go-ci / Go Mod Tidy Check	36s
go-ci / Unit Tests Coverage (ubuntu-latest)	7m 1s
go-ci / Integration Tests / Integration Tests Fraud	4m 13s
go-ci / Integration Tests / Integration Tests ND	24m 6s
go-ci / Integration Tests / Integration Tests p2p	4m 16s
go-ci / Integration Tests / Integration Tests API	14m 20s
go-ci / Integration Tests / Integration Tests Share	4m 21s
go-ci / Integration Tests / Integration Tests Reconstruction	4m 16s
go-ci / Integration Tests / Da Tests Sync	4m 18s
go-ci / Integration Tests / Integration Tests Pruning	19m 17s
go-ci / Integration Tests / Integration Tests Sync	4m 51s
go-ci / Integration Tests / Integration Tests Blob	4m 16s
	1h 42m 57s

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