Add pagination and search box to org teams list (#37245)

- Add pagination and keyword search to the teams list page
- 5 teams shown at most in the overview page

Fixes: #34482
Fixes: #36602
Fixes: #37084
Signed-off-by: silverwind <me@silverwind.io>
Co-authored-by: Animesh Kumar <83393501+kmranimesh@users.noreply.github.com>
Co-authored-by: silverwind <me@silverwind.io>
Co-authored-by: Claude (Opus 4.7) <noreply@anthropic.com>
Co-authored-by: wxiaoguang <wxiaoguang@gmail.com>

services/context/org.go

@@ -174,23 +174,12 @@ func OrgAssignment(orgAssignmentOpts OrgAssignmentOptions) func(ctx *Context) {
 		}
 
 		// Team.
+		shouldSeeAllTeams, err := UserShouldSeeAllOrgTeams(ctx)
+		if err != nil {
+			ctx.ServerError("UserShouldSeeAllOrgTeams", err)
+			return
+		}
 		if ctx.Org.IsMember {
-			shouldSeeAllTeams := false
-			if ctx.Org.IsOwner {
-				shouldSeeAllTeams = true
-			} else {
-				teams, err := org.GetUserTeams(ctx, ctx.Doer.ID)
-				if err != nil {
-					ctx.ServerError("GetUserTeams", err)
-					return
-				}
-				for _, team := range teams {
-					if team.IncludesAllRepositories && team.HasAdminAccess() {
-						shouldSeeAllTeams = true
-						break
-					}
-				}
-			}
 			if shouldSeeAllTeams {
 				ctx.Org.Teams, err = org.LoadTeams(ctx)
 				if err != nil {
@@ -255,3 +244,25 @@ func OrgAssignment(orgAssignmentOpts OrgAssignmentOptions) func(ctx *Context) {
 		}
 	}
 }
+
+// UserShouldSeeAllOrgTeams tells if a user has permission to view all teams in the org.
+func UserShouldSeeAllOrgTeams(ctx *Context) (bool, error) {
+	if !ctx.Org.IsMember {
+		return false, nil
+	}
+
+	if ctx.Org.IsOwner {
+		return true, nil
+	}
+
+	teams, err := ctx.Org.Organization.GetUserTeams(ctx, ctx.Doer.ID)
+	if err != nil {
+		return false, err
+	}
+	for _, team := range teams {
+		if team.IncludesAllRepositories && team.HasAdminAccess() {
+			return true, nil
+		}
+	}
+	return false, nil
+}