Incrementing VERSION to 120.0.6065.1

Change-Id: I411782c9dcabe51c82446ec3e0ad7f9d6ef167fa
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4939070
Bot-Commit: Chrome Release Bot (LUCI) <chrome-official-brancher@chops-service-accounts.iam.gserviceaccount.com>
Cr-Commit-Position: refs/branch-heads/6065@{#2}
Cr-Branched-From: fd6df10-refs/heads/main@{#1209401}

chrome/VERSION

@@ -1,4 +1,4 @@
 MAJOR=120
 MINOR=0
 BUILD=6065
-PATCH=0
+PATCH=1