feat(GlSearchBoxByClick): use design tokens in GlSearchBoxByClick

mentioned in commit 76563504

mentioned in merge request gitlab-org/editor-extensions/gitlab-jetbrains-plugin!1132 (merged)

mentioned in merge request status-page!903

mentioned in merge request gitlab!168948 (closed)

mentioned in merge request gitlab-org/editor-extensions/gitlab-jetbrains-plugin!1147 (closed)

mentioned in merge request gitlab-org/gitlab-services/design.gitlab.com!4129 (merged)

mentioned in merge request gitlab-org/gitlab-services/design.gitlab.com!4130 (merged)

mentioned in merge request gitlab-org/frontend/playground/accessibility-scanner!55 (closed)

mentioned in merge request gitlab-org/frontend/pajamas-adoption-scanner!352 (merged)

mentioned in merge request gitlab-org/frontend/playground/accessibility-scanner!58 (merged)