Adding another answer since it meets every requirement by the OP and I believe they'll be interested.
[FEN "4nr2/5ppk/pn3q2/3ppNRP/1pr1P3/1P3P2/1KP3Q1/R7 w - - 0 42"]
Game 99 of the Season 20 TCEC Superfinal
Leela had +0.03 eval with this principal variation:
41....d5 42. bxc4 Nxc4+ 43. Kb1 dxe4 44. fxe4 Na3+ 45. Ka2 Qe6+ 46. Kb2 Nc4+ 47. Kb1 Rg8 48. Rg6 Qd7 49. Ka2 Qa4+ 50. Kb1 Qd7
And it boomed to +10.59 after 42. Rg6 and 3 minutes 27s thought.
Of course, it is TCEC hardware - their Leela ran at 92.1 knps. It's extremely unlikely OP (or anyone) can get anywhere near this speed. With weaker hardware, Leela's eval will be different.
However it is worth emphasizing that OP's actual question (about the engine changing its mind during the search) is not so clear, because Leela could very well suffer from tunnel vision and completely miss 42. Rg6. That's not to say that Leela never changes its mind, it does, but it's not as simple as "run Leela for 3 minutes and it will boom". That's especially the case since what Leela sees in 3 minutes is heavily dependent on what hardware you run Leela on.
Here's an article by GM Matthew Sadler on a different blunder by Leela in the TCEC Season 20 superfinal illustrating the difficulties with the question, and possibly providing another interesting position. To quote:
Leave “my Leela” long enough (16.2M nodes searched) and its evaluation plummets: it sees that 79…Nb5 loses to the 80.Nf5 sacrifice and its assessment of its new top move (79…Bb5) is just 27.9% expected score (1 win, 3 draws and 6 losses). A big fall!
However, if we look at “TCEC Leela’s” evaluation at this point…
…it gives a WDL breakdown of 11.3% White win, 88.7% Draw and 0% Black win (0.16 is the conversion of this expected score to centipawns which the TCEC does to be able to compare easily with Stockfish). That’s just a slight disadvantage. Why is that?
Well, “TCEC Leela” moved 79…Bb5 very quickly, taking just 34 seconds for its move.
In that short time, it searched 2.3M nodes (10M nodes less than my 24 mins’ effort) and this was presumably not enough for it to see all the dangers in the position!
Position in question (I have taken the position one move earlier to have the board "right side up". White played 79.Bd3):
[FEN "5r1k/2nbq1rp/3p2p1/2pPp1P1/p3P3/P3NPQ1/1P2B2R/K6R w - - 3 79"]