FYI – Currently there is a spike of Omicron XBB variant with high reinfections, especially those who had pre-omicron virus or vaccine.
Figure 1 in paper below shows antibody response from different vaccines to different strains 15 to 40 days after vaccination. One old booster was somewhat effective to previous BA.x and BQ.x strains but not to XBB. Two old ones and one new bivalent booster still effective for XBB.
See:
Neutralization against BA.2.75.2, BQ.1.1, and XBB from mRNA Bivalent Booster
letter to NEJM December 21, 2022 DOI: 10.1056/NEJMc2214293