Kagi logs you out if you don't use compatibility mode

Steps to reproduce:

1. Log into kagi.com with Orion browser (not compatibility mode)
2. Perform a search
3. Note that it logs you out
4. Turn on compatibility mode.
5. Perform a search
6. Note that it does not log you out

Expected behavior:
I expect kagi to work all of the time with default orion settings

Orion 0.99.123.3-beta (WebKit 615.1.16.1)
macOS Version 13.2.1 (Build 22D68)
Mac14,7

Session Info:

• Open windows => 1
• Pinned tabs => 0
• Active window tabs => 26
• Active tab url => https://orionfeedback.org/

Enabled Extensions:

Disabled Extensions:

Non Default Settings:

• OfferSavePassword => 0
• ContentBlockerLastUpdated => 2023-02-03 00:00:00 +0000
• WebAutomaticSpellingCorrectionEnabled => 0
• WebContinuousSpellCheckingEnabled => 0
• WebAutomaticQuoteSubstitutionEnabled => 0
• WebAutomaticDashSubstitutionEnabled => 0
• ShouldShowWelcomeAnimation => 0
• ToolbarConfiguration => {
  "TB Default Item Identifiers" = (
  toggleSidebar,
  navigationGroup,
  NSToolbarFlexibleSpaceItem,
  privacyButton,
  websiteSettingsButton,
  locationBar,
  bookmarkButton,
  addTabButton,
  NSToolbarFlexibleSpaceItem,
  shareButton,
  tabOverview
  );
  "TB Display Mode" = 2;
  "TB Icon Size Mode" = 1;
  "TB Is Shown" = 1;
  "TB Item Identifiers" = (
  toggleSidebar,
  NSToolbarSidebarTrackingSeparatorItemIdentifier,
  navigationGroup,
  NSToolbarFlexibleSpaceItem,
  privacyButton,
  websiteSettingsButton,
  locationBar,
  bookmarkButton,
  addTabButton,
  NSToolbarFlexibleSpaceItem,
  shareButton,
  downloadsButton,
  tabOverview
  );
  "TB Size Mode" = 1;
  }
• FirstLaunch => 0
• AllowFirefoxWebExtensions => 1
• AllowChromeWebExtensions => 1
• LastUsedBuildVersion => 123.3
• WillInstallUpdate => 0
• PreCompiledContentRuleListVersion => 123.3
• LastCrashCheckDate => 2023-03-18 00:17:44 +0000
• NextDownloadID => 12
• SavedWindowSize => 1440.0,794.0
• SavedWindowPosition => -1.0,81.0
• TabStyle => treeStyle
• StatusBarVisible => 0
• BookmarksSidebarVisible => 1
• BookmarksSidebarWidth => 240
• QuitWithConfirmation => 0
• ActiveLibraryTab => extensions
• ActivePreferenceTab => search
• WebExtInstallPermission => ask
• BookmarksLastSynced => 1679098664895.702
• ReadingListLastSynced => 1679098664896.748https://orionfeedback.org/assets/files/2023-03-18/1679105507-634535-screen-recording-2023-03-17-at-80323-pm.mov

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