Interesting read.I do not believe that is the case.
The discussions on re-unification of Germany took place largely in 1989. Gorbachev was the Russian President at the time and he confirmed in an interview in 2014 that "The topic of 'NATO expansion' was not discussed at all, and it wasn't brought up in those years ..."
The Warsaw Pact was still in existence until 1991 so it was something of a moot point. Gorbachev also acknowledges though that there was not an expectation on his/Russia's part that events would unfold at the pace they did.
Yeltsin, when he subsequently came to power, pushed Clinton for an assurance that NATO would not admit former Warsaw Pact countries. Clinton consistently pointed out that it was down to sovereign states to decide their own future direction. NATO didn't go on a recruitment drive - Putin's own actions have driven it's expansion with the latest examples being Finland and Sweden.
My personal view is that the discussions on reunification and subsequent discussions with Yeltsin (which were largely about support for Russia in transforming from the Cold War era) are being deliberately conflated by Putin to infer something was promised that was not. Earlier in the year as part of my OU studies I took the time to look at the declassified documents available online in the US National Archive and others at the Clinton library so I'm not just blindly following what the press "feeds me" in reaching my view.
Putin has/is trying to re-establish the former USSR. NATO is a defensive alliance and a quick look at the map shows it is not surrounding Russia. NATO has only ever deployed outside of NATO territory (for instance the KFOR peacekeeping force) when authorised to do so by a UN Security Council Mandate ... where Russia has a veto.
One thing we can perhaps agree on is that while the "West won the Cold War" the opportunity that it presented for a more stable world has been squandered.
There are of course statements at the time made by those at the head of negotiations, that they would not expand east beyond Germany.
Of course a promise by the US, Nato and or Russia isn’t worth the breath it was given on.
Btw new information releases shows the pipeline was a US backed job carried out by Ukraine.
https://www.cbc.ca/news/investigates/nord-stream-pipeline-explosion-ukraine-diver-1.7296527
To think Russia would blow up their own pipeline is a bit odd. Given that the Biden regime also said they would destroy it.