Flush logical messages with snapshots and replication origin (#6826)

## Problem

See https://neondb.slack.com/archives/C04DGM6SMTM/p1708363190710839

## Summary of changes

Flush logical message with snapshot and origin state

## Checklist before requesting a review

- [ ] I have performed a self-review of my code.
- [ ] If it is a core feature, I have added thorough tests.
- [ ] Do we need to implement analytics? if so did you add the relevant
metrics to the dashboard?
- [ ] If this PR requires public announcement, mark it with
/release-notes label and add several sentences in this section.

## Checklist before merging

- [ ] Do not forget to reformat commit message to not include the above
checklist

---------

Co-authored-by: Konstantin Knizhnik <knizhnik@neon.tech>

vendor/revisions.json

@@ -1,5 +1,5 @@
 {
-    "postgres-v16": "9c37a4988463a97d9cacb321acf3828b09823269",
-    "postgres-v15": "ca2def999368d9df098a637234ad5a9003189463",
-    "postgres-v14": "9dd9956c55ffbbd9abe77d10382453757fedfcf5"
+    "postgres-v16": "dc40299045a377ec3b302c900134468a1b0f58ee",
+    "postgres-v15": "0baccce15a3b0446af5c403d2e869a04541b63c4",
+    "postgres-v14": "17101190de8a54b95e0831c66c3da426ed33db34"
 }