Motherwell loanee Taylor-Sinclair got the scoring underway with his header into the far corner of Alex Palmer's net from Charlie Kirk's delivery following a short corner routine.
Although Notts had a couple of chances, the Railwaymen doubled their lead on 77 when Ryan Wintle turned in Perry Ng's pull-back from close range.
Substitute James Jones then saw his shot deflect off Sam Stubbs and loop over Palmer for the hosts' third seven minutes before the end.
Pride of Nottingham vlogger ARLukomski was at the game to watch proceedings.
Here is his video detailing his pre-match, mid-match and post-match views.
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