Once you have an AMEX card, AMEX SP your reports on a regular basis. It is part of their risk management algorithms. It may turn out that if you ask for a CLI, or app another card with them, the last SP could be two days ago, or up to 60 days ago. That is one of the reasons for the suggestion to wait 61 days after first card to ask for CLI, because it gives their SP check time to update latest scores.
High Bal Jan 2009 $116k on $146k limits 80% Util.
Oct 2014 $46k on $127k 36% util EQ 722 TU 727 EX 727
April 2018 $18k on $344k 5% util EQ 806 TU 810 EX 812
Jan 2019 $7.6k on $360k EQ 832 TU 839 EX 831
March 2021 $33k on $312k EQ 796 TU 798 EX 801
May 2021 Paid all Installments and Mortgages, one new Mortgage EQ 761 TY 774 EX 777
April 2022 EQ=811 TU=807 EX=805 - TU VS 3.0 765