Add show more organizations icon in user's profile (#32986)

Close #32952

# ⚠️ Doc update is required


![image](https://github.com/user-attachments/assets/296c5109-8fc1-43ea-b7dc-e79919cc1f9a)

![image](https://github.com/user-attachments/assets/d30980f6-22e4-4b97-9143-c750dc399da6)


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⚠️This PR refuses to be cherry-picked by any forked projects without any
mentions.

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Co-authored-by: wxiaoguang <wxiaoguang@gmail.com>

routers/web/shared/user/header.go

@@ -61,11 +61,20 @@ func PrepareContextForProfileBigAvatar(ctx *context.Context) {
 	orgs, err := db.Find[organization.Organization](ctx, organization.FindOrgOptions{
 		UserID:         ctx.ContextUser.ID,
 		IncludePrivate: showPrivate,
+		ListOptions: db.ListOptions{
+			Page: 1,
+			// query one more results (without a separate counting) to see whether we need to add the "show more orgs" link
+			PageSize: setting.UI.User.OrgPagingNum + 1,
+		},
 	})
 	if err != nil {
 		ctx.ServerError("FindOrgs", err)
 		return
 	}
+	if len(orgs) > setting.UI.User.OrgPagingNum {
+		orgs = orgs[:setting.UI.User.OrgPagingNum]
+		ctx.Data["ShowMoreOrgs"] = true
+	}
 	ctx.Data["Orgs"] = orgs
 	ctx.Data["HasOrgsVisible"] = organization.HasOrgsVisible(ctx, orgs, ctx.Doer)