fix: persist last queried DA Height across full node restarts #7106

Job	Run time
branch_name	3s
test / Build ev-node EVM Single Docker Image	15m 1s
test / Build ev-node Docker Image	13m 49s
test / Build All ev-node Binaries	2m 5s
test / Go Mod Tidy Check	33s
test / Run Unit Tests	3m 52s
test / Run Integration Tests	1m 26s
lint / goreleaser-check	6s
lint / golangci-lint	1m 14s
lint / markdown-lint	24s
lint / yamllint	10s
proto / buf-check	7s
lint / hadolint / hadolint	6s
test / Run E2E System Tests	6m 4s
test / Run EVM Execution Tests	2m 21s
test / Combine and Upload Coverage	8s
test / Docker E2E Tests	3m 6s
release	0s
	50m 35s

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