Incrementing VERSION to 116.0.5840.1

Change-Id: I0c4e7a6f670393fea5d0325b0896e85250efb8be
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4625250
Bot-Commit: Chrome Release Bot (LUCI) <chrome-official-brancher@chops-service-accounts.iam.gserviceaccount.com>
Cr-Commit-Position: refs/branch-heads/5840@{#2}
Cr-Branched-From: 5df29ac-refs/heads/main@{#1159381}

chrome/VERSION

@@ -1,4 +1,4 @@
 MAJOR=116
 MINOR=0
 BUILD=5840
-PATCH=0
+PATCH=1