feat(website): Umami analytics (conversion + CTA events)

Add the Umami tracker (cookieless, no consent banner) in the document head,
limited to the production hostnames via data-domains so dev traffic doesn't
pollute the stats. Pageviews are auto-tracked per page and locale.

Custom events on the key funnel:
- demo-request (demo form submit, with teamSize)
- partner-application (partner form submit, with type)
- book-demo (every "Book a demo" CTA click) via data-umami-event
- login (clicks through to the app)

Also fix the mobile nav menu links, which weren't localized (would drop
Danish visitors back to English).

apps/website/pages/contact.vue

@@ -57,7 +57,7 @@ useHead({ title: () => `${copy.value.pages.contact.label} · dezky` })
         <div>
           <h2 :style="h2">{{ c.demoHeading }}</h2>
           <p :style="{ fontFamily: '\'Inter\', sans-serif', fontSize: '18px', lineHeight: 1.6, color: t.fgMuted, margin: '18px 0 28px', textWrap: 'pretty' }">{{ c.demoBody }}</p>
-          <LandingBtn variant="primary" size="lg" @click="navigateTo(localePath('/demo'))">{{ copy.pages.ctaDemo }} →</LandingBtn>
+          <LandingBtn variant="primary" size="lg" data-umami-event="book-demo" @click="navigateTo(localePath('/demo'))">{{ copy.pages.ctaDemo }} →</LandingBtn>
         </div>
       </div>
     </div>

apps/website/pages/demo.vue

@@ -3,7 +3,7 @@
 // info@dezky.eu (zero backend, no US tools). Swap this for the self-built
 // embedded scheduler later — the copy + layout can stay.
 import { ref, computed } from 'vue'
-import { useTheme, useCopy } from '~/composables/useLanding'
+import { useTheme, useCopy, track } from '~/composables/useLanding'
 
 definePageMeta({ layout: 'page' })
 
@@ -28,6 +28,7 @@ function submit() {
     '',
     message.value,
   ].join('\n')
+  track('demo-request', { teamSize: team.value })
   window.location.href = `mailto:info@dezky.eu?subject=${encodeURIComponent(subject)}&body=${encodeURIComponent(body)}`
 }
 

apps/website/pages/migration.vue

@@ -27,7 +27,7 @@ useHead({ title: () => `${copy.value.pages.migration.label} · dezky` })
 
     <p :style="{ marginTop: '64px', fontFamily: '\'Inter\', sans-serif', fontSize: '16px', color: t.fg }">{{ c.note }}</p>
     <div :style="{ marginTop: '32px' }">
-      <LandingBtn variant="primary" size="lg" @click="navigateTo(localePath('/demo'))">{{ copy.pages.ctaDemo }} →</LandingBtn>
+      <LandingBtn variant="primary" size="lg" data-umami-event="book-demo" @click="navigateTo(localePath('/demo'))">{{ copy.pages.ctaDemo }} →</LandingBtn>
     </div>
   </LandingContainer>
 </template>

apps/website/pages/partners.vue

@@ -1,6 +1,6 @@
 <script setup lang="ts">
 import { ref } from 'vue'
-import { useTheme, useCopy } from '~/composables/useLanding'
+import { useTheme, useCopy, track } from '~/composables/useLanding'
 
 definePageMeta({ layout: 'page' })
 
@@ -35,6 +35,7 @@ function submitPartner() {
     '',
     pMessage.value,
   ].join('\n')
+  track('partner-application', { type: pType.value })
   window.location.href = `mailto:info@dezky.eu?subject=${encodeURIComponent(subject)}&body=${encodeURIComponent(body)}`
 }
 
@@ -197,7 +198,7 @@ useHead({ title: () => `${copy.value.pages.partners.label} · dezky` })
           <p :style="{ marginTop: '20px', fontFamily: '\'Inter\', sans-serif', fontSize: '18px', lineHeight: 1.6, color: t.fgMuted, maxWidth: '420px', textWrap: 'pretty' }">{{ c.form.lede }}</p>
           <button
             :style="{ marginTop: '28px', background: 'transparent', border: 'none', padding: 0, cursor: 'pointer', fontFamily: '\'Inter\', sans-serif', fontSize: '15px', color: t.fgMuted, textDecoration: 'underline', textUnderlineOffset: '3px' }"
-            @click="navigateTo(localePath('/demo'))"
+            data-umami-event="book-demo" @click="navigateTo(localePath('/demo'))"
           >{{ c.cta }} →</button>
         </div>