Bolt prompt for a 404 page

Create a standalone 404 page for a project management SaaS in this project — one file at src/pages/NotFound plus a catch-all route entry, styled to feel deliberate rather than default. Its job: tell engineering managers at startups they're off the map and hand them a way back within five seconds.

Structure, one full-viewport column, vertically centered:
1. Status line — small uppercase label reading "Error 404 — page not found", so the state is explicit before any humor starts.
2. Headline — one memorable sentence riffing on a project management SaaS's domain (ask yourself what "lost" means inside this product's world); ten words maximum.
3. The interactive touch — a fake command line beneath the headline that types out "searching for page... 0 results" once on load, then blinks a cursor; typing text and pressing Enter routes to the search page with the query prefilled.
4. Recovery actions — the primary button plus two secondary links: homepage and support.
5. Baseboard — a thin strip at the bottom naming the last-visited page (read document.referrer; hide the strip when it's empty) with a "take me back" link.

Visual direction:
Minimal dark style. Near-black canvas (#0A0A0B) with one elevated surface tone (#141416) for cards — never more than two surface steps. Hairline borders (1px, white at 8% opacity) instead of shadows; if a shadow is unavoidable use 0 1px 2px rgba(0,0,0,0.4) and nothing softer. Text in exactly three steps: white at 92% for headings, 60% for body, 40% for captions. Generous negative space — section padding at least 120px on desktop, 64px on mobile. The accent color appears only on interactive elements and one hero highlight, nowhere else.

Palette: a strict neutral ramp (white, #F5F5F5, #E5E5E5, #737373, #171717) carries the entire interface; pick one accent and use it only for primary CTAs, active states, and a single hero highlight. If the accent appears more than five times per viewport it stops being an accent. Keep semantic colors (success, error) desaturated so the accent stays in charge.
Typography: one geometric sans (a Futura/Poppins-class face) at three weights maximum (400/500/700). Scale: 64-88px hero, 32px section heads, 18px lede, 16px body, 13px caps labels with 0.08em tracking. Tight headline leading (1.05-1.1), relaxed body (1.6). Let the geometry carry the personality — no italics; weight and size do all hierarchy.
Motion: none. Zero scroll animations, zero entrance effects — the page is fully composed the instant it paints. Spend the motion budget on input feedback instead: 120-150ms ease-out color and transform transitions on hover and press states only. Hold this constraint absolutely; it is a statement, not an omission.

Spacing and responsive:
- Center the column with flex and cap content width at 560px; vertical gaps run 16px within a group and 48px between groups.
- Under 480px, skip the typing animation and render the command line's final state statically, so small devices avoid the animation and any keyboard-trap weirdness.

The primary call to action is "start a free trial".

Watch the preview and verify before finishing: the typing animation runs exactly once and never loops; pressing Enter with typed text navigates to /search?q= plus the text; the referrer strip is hidden when the page is opened directly; there is no vertical scrollbar at 1440x900; the column still centers at 360px wide.