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That does not always seem to be the case. If you are going to apply again with the same CC company I would suggest you call them and ask if they can use the same report they have already pulled to approve you for another card.
That is not true. You may be confusing it with how the fico score groups inquiries for auto or mortgage loans as one inquiry if they are done within a short period of time to account for people shopping around for the most favorable terms for a loan. This is not true with credit card inquiries. People often apply for 2 or more cards at the same exact time however because it takes a little while for an inquiry to "hit" the credit bureaus so when apping for more than one card, it is best to do so at as close to the exact same time as possible. Some even open multiple tabs on browsers and send at the same instant. If it is still within a day or 2 you might be able to app for a second card before the first inquiry hits your report. The effect of a single additional inqury on most people's credit report is relatively small.
Edit: I may have misunderstood your question. Do you mean to change or add cards within capital one? In that case they may not pull a second.