refactor(peer-support): delete provably dead code (Phase 1)

The Skills Exchange + Peer Support feature was replaced by Community
Connections on 2026-04-05, but several files and code paths were left
in place as backward-compat. None are reachable from the live UI:

- usePeerSupport.js composable: not imported anywhere
- PeerSupportBadge.vue: not imported anywhere
- peer-support.vue: stub redirect with no incoming links
- /api/peer-support.get.js: only consumed by usePeerSupport
- /api/members/me/peer-support.patch.js: same
- profile.patch.js offering/lookingFor write branches: profile form
  no longer sends these fields (only writes communityConnections.*)
- PEER_SUPPORT_ENABLED/DISABLED activity types and renderers: only
  written by the deleted peer-support.patch endpoint. The activityText
  formatter has a fallback for unknown types so existing records
  still display ("peer support enabled" with a generic icon).

Tests updated to drop peerSupportUpdateSchema coverage and the
offering/lookingFor passthrough assertion.

schemas.js cleanup deferred — concurrent communityConnections →
communityEcology rename is in flight in the working tree.

app/components/PeerSupportBadge.vue

@@ -1,101 +0,0 @@
-<template>
-  <!-- Corner Sticker Badge -->
-  <div
-    v-if="type === 'sticker'"
-    class="absolute top-2 right-2 z-10"
-    :title="title"
-  >
-    <div
-      class="relative transform rotate-3 hover:rotate-0 transition-transform"
-      style="width: 60px; height: 66px"
-    >
-      <!-- Shield background -->
-      <svg
-        xmlns="http://www.w3.org/2000/svg"
-        viewBox="0 0 1000 1000"
-        class="absolute inset-0 w-full h-full drop-shadow-lg"
-      >
-        <path
-          d="M500 70 150 175.3v217.1C150 785 500 930 500 930s350-145 350-537.6V175.2L500 70Z"
-          class="fill-candlelight-500"
-        />
-      </svg>
-
-      <!-- Content on top of shield -->
-      <div class="absolute inset-0 flex flex-col items-center justify-center">
-        <Icon
-          name="heroicons:chat-bubble-left-right-solid"
-          class="w-6 h-6 text-white"
-        />
-      </div>
-
-      <!-- Sparkle effect -->
-      <div
-        class="absolute top-0 right-1 w-2 h-2 bg-candlelight-300 rounded-full animate-pulse"
-      ></div>
-    </div>
-  </div>
-
-  <!-- Inline Badge -->
-  <div
-    v-else
-    :class="[
-      'inline-flex items-center gap-1.5 px-2.5 py-1 rounded-full border text-xs font-medium transition-all',
-      variant === 'default' &&
-        'bg-candlelight-900/20 text-candlelight-400 border-candlelight-500/40 hover:bg-candlelight-900/30',
-      variant === 'subtle' &&
-        'bg-candlelight-900/10 text-candlelight-500 border-candlelight-500/20',
-      variant === 'solid' &&
-        'bg-candlelight-500 text-white border-candlelight-600 hover:bg-candlelight-600',
-    ]"
-    :title="title"
-  >
-    <Icon
-      name="heroicons:chat-bubble-left-right"
-      :class="[
-        'w-3.5 h-3.5',
-        variant === 'default' && 'text-candlelight-400',
-        variant === 'subtle' && 'text-candlelight-500',
-        variant === 'solid' && 'text-white',
-      ]"
-    />
-    <span>{{ label }}</span>
-  </div>
-</template>
-
-<script setup>
-const props = defineProps({
-  /**
-   * Badge type - inline or corner sticker
-   * @values inline, sticker
-   */
-  type: {
-    type: String,
-    default: "inline",
-    validator: (value) => ["inline", "sticker"].includes(value),
-  },
-  /**
-   * Display variant of the badge (for inline type)
-   * @values default, subtle, solid
-   */
-  variant: {
-    type: String,
-    default: "default",
-    validator: (value) => ["default", "subtle", "solid"].includes(value),
-  },
-  /**
-   * Custom label text (defaults to "Offering Peer Support")
-   */
-  label: {
-    type: String,
-    default: "Offering Peer Support",
-  },
-  /**
-   * Tooltip/title text
-   */
-  title: {
-    type: String,
-    default: "This member offers 1:1 peer support sessions",
-  },
-});
-</script>