It's early data but this shows that previously infected people are more likely to get the Omicron -
https://www.medrxiv.org/content/10.1101/2021.11.11.21266068v2.full.pdf
among 2,796,982 individuals with laboratory-confirmed SARS-CoV-2, who had a positive test result at least 90 days prior to 27th November 2021.
35,670 individuals with at least two infections
332 individuals with third infections
1 individual with four infections
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The relative hazard ratio for wave 2 versus wave 1 was 0.75
The relative hazard ratio for wave 3 versus wave 1 was 0.71
Relative hazard ratio for the period from 01 November 2021 to 27 November 2021
The relative hazard ratio for wave 4 versus wave 1 was 2.39
This means that in the second wave there was a 75% chance to get reinfected and with Omicron the chance is 239% to get reinfected