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You *may* be fine if you wanted the BB card or BB MC, but you would probably get shot down if you went with HSBC since they limit the number of cards. This is always YMMV, but if you want to risk the inquiry for HSBC, then go for it. That pre-selector has known to pre-approve then shoot people down for having the "max" number of HSBC cards. Some are allowed 1, 2, 3... It is really up to HSBC and they don't tell you ahead of time, unfortunately.
Edit to kinda clarify, the Best Buy cards seem to not always count in the "max" for *some*
I too have the HSBC/Orchard and my max cards with HSBC is 1. I applied for a Best Buy store card, and was denied and when I called for a recon I was given that info. I wish I had known ahead of time because it was a wasted hard INQ. Oh well I did get a free EQ report for the denial.
They told me I can apply again in 18 months, which will be after having the card two years. Then again with the Feds telling CCC's they need to loosen up for the holidays you might just get approved right away.