fix state issues with relative time input not matching reality (#1320)

Fix issues where input state became out of sync in certain edge cases with relative time

**Before** (Demo Video):

https://github.com/user-attachments/assets/5f7b92f1-1dcd-413d-bca1-092d4e4bc360

**After**: issues are not observed.

Author: brandon-pereira

.changeset/thin-apricots-hunt.md

@@ -0,0 +1,5 @@
+---
+"@hyperdx/app": patch
+---
+
+bug fixes with relative time selection

packages/app/src/DBSearchPage.tsx

@@ -1030,7 +1030,7 @@ function DBSearchPage() {
     }
     // we only want this to run on initial mount
     // eslint-disable-next-line react-hooks/exhaustive-deps
-  }, [updateRelativeTimeInputValue, isReady]);
+  }, [updateRelativeTimeInputValue, searchedConfig.source, isReady]);
 
   useLiveUpdate({
     isLive,

packages/app/src/timeQuery.ts

@@ -479,7 +479,11 @@ export function useNewTimeQuery({
       setSearchedTimeRange(initialTimeRange);
       const dateRangeStr = dateRangeToString(initialTimeRange, isUTC);
       if (updateInput !== false) {
-        _setDisplayedTimeInputValue(initialDisplayValue ?? dateRangeStr);
+        if (!showRelativeInterval) {
+          _setDisplayedTimeInputValue(dateRangeStr);
+        } else {
+          _setDisplayedTimeInputValue(initialDisplayValue ?? dateRangeStr);
+        }
       }
     }
   }, [