[FE] Add taxonomy type badge to Taxonomies page

Use Case

As a Platform Administrator, I need to see a taxonomy type badge on each taxonomy card on the Taxonomies page so that I can quickly distinguish Competency Taxonomies from standard tag taxonomies at a glance without leaving the page.

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Description

This issue updates every taxonomy card to always display exactly one type badge:

• "Competency" — new badge for Competency Taxonomies, visually distinct color from System-level
• "Tags" — new badge for standard tag taxonomies

The badge is determined by thetaxonomyType field being added to the API response (added by #618). The priority order is:

1. If taxonomyType is "competency" → show "Competency" badge
2. Otherwise → show "Tags" badge

This ticket is the display counterpart to the import dropdown added in #615 and removes the need for Postman verification of taxonomy type after import.

Dependency: Requires #618 (GET endpoint returning taxonomy_type) and #630 (verifies TaxonomyOrgSerializer in edx-platform passes taxonomy_type through in the /api/content_tagging/v1/taxonomies/ response) to be merged first.

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Acceptance Criteria

Scenario 1: Competency taxonomy shows Competency badge

Given a Competency Taxonomy exists on the platform
When I navigate to the Taxonomies page
Then the taxonomy card displays a "Competency" icon

Scenario 2: Standard tag taxonomy shows Tags badge

Given a standard tag taxonomy exists on the platform
When I navigate to the Taxonomies page
Then the taxonomy card displays a "Tags" icon

Scenario 3: Every taxonomy card shows exactly one type badge

Given multiple taxonomies of different types exist on the platform
When I navigate to the Taxonomies page
Then each taxonomy card displays exactly one type icon
And no taxonomy card displays more than one type icon

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UX Designs

Figma Link

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Technical Notes

Note that this section was drafted before the system taxonomy type was removed. Ignore anything below related to the system type taxonomy.

Files to Create

File	Purpose
src/taxonomy/taxonomy-card/TaxonomyTypeBadge.jsx	New badge component that accepts systemDefined and taxonomyType props and renders the correct label and color

Modified Files

File	Nature of modification
src/taxonomy/data/types.ts	Add `taxonomyType: 'competency'
src/taxonomy/taxonomy-card/index.jsx	Replace conditional SystemDefinedBadge rendering (lines 122–128) with TaxonomyTypeBadge, passing both systemDefined and taxonomyType

Implementation Notes

• taxonomyType is not yet in the frontend data layer. Add taxonomyType: 'competency' | 'tags' to the TaxonomyData interface in types.ts (lines 2–18). The camelCaseObject() call in the API hook automatically converts taxonomy_type from the response to taxonomyType — no hook changes needed.
• Badge priority logic belongs in TaxonomyTypeBadge. The component receives both systemDefined: boolean and taxonomyType: 'competency' | 'tags' and applies the priority order: System-level first, then Competency, then Tags. Keeping the logic inside the component makes it testable in isolation.
• Visual reference for the new component: Use the same badge/pill UI component already used by src/taxonomy/system-defined-badge/index.jsx as the pattern. "System-level" retains its existing styling; "Competency" uses a distinct color variant; "Tags" uses a neutral color variant.
• Card update: TaxonomyCard (taxonomy-card/index.jsx, lines 122–128) currently conditionally renders <SystemDefinedBadge /> when showSystemBadge is true. Replace this with <TaxonomyTypeBadge systemDefined={systemDefined} taxonomyType={taxonomyType} /> — always rendered, no conditional, since every taxonomy now shows a badge.
• systemDefined is not removed. It remains on the interface and in existing code. This ticket does not clean it up; that is a separate concern.
• taxonomy_type passthrough in edx-platform: The frontend calls /api/content_tagging/v1/taxonomies/. Verify that TaxonomyOrgSerializer (edx-platform/openedx/core/djangoapps/content_tagging/rest_api/v1/serializers.py, lines 70–99) includes taxonomy_type in its response — this is covered by #630, but confirm it is merged and working before testing this ticket.

Example Resolution Prompt

In frontend-app-authoring, add taxonomy type badges to the Taxonomies page. In src/taxonomy/data/types.ts, add taxonomyType: 'competency' | 'tags' to the TaxonomyData interface. Create src/taxonomy/taxonomy-card/TaxonomyTypeBadge.jsx that accepts systemDefined: boolean and taxonomyType: 'competency' | 'tags' props and renders exactly one badge: "System-level" if systemDefined is true, "Competency" if taxonomyType === 'competency', or "Tags" otherwise. Use the same badge/pill UI component as src/taxonomy/system-defined-badge/index.jsx as the visual pattern, with a distinct color variant for "Competency" and a neutral variant for "Tags". In src/taxonomy/taxonomy-card/index.jsx, replace the conditional <SystemDefinedBadge /> at lines 122–128 with <TaxonomyTypeBadge systemDefined={systemDefined} taxonomyType={taxonomyType} /> — always rendered, no conditional. Do not remove systemDefined from the interface or any existing code.