A lender's maximum is based on qualification rules and the information used in the application. Your own comfort level also needs to account for how you actually live. Build your target purchase range so that you can still handle savings goals, travel, childcare, transportation, unexpected repairs and normal life after the purchase.
A useful process is to test three scenarios: comfortable, stretch, and do-not-exceed. Use the comfortable scenario for your normal search. Keep the stretch scenario only for a property that clearly earns the trade-off, and set the do-not-exceed number before an emotional offer situation.