You searched for: “concede
concede (kuhn SEED) (verb), concedes; conceded; conceding
1. To acknowledge that something is true, justified, or proper; even though it is often done reluctantly: Bill had to concede defeat after the other runner passed him just before the finish line.

"Bill, your plan might work," Mary conceded, "but I am still convinced that mine is better."

2. Etymology: from Latin concedere, "to yield, to give way, to go away, to depart"; figuratively "to agree, to consent"; from com-, "with, together" + cedere, "to go, to grant, to give way".
This entry is located in the following unit: English Words in Action, Group C (page 5)