Verify each finding against the current code and only fix it if needed.

Inline comments:
In @.changeset/shiny-moments-drive.md:
- Around line 7-19: The example still uses an undeclared variable "images" in
the {`#each` images as img} block which triggers noUndeclaredVariables; either
declare it (add a <script> block that defines let images = [] so "images" is
declared before use) or remove the {`#each` ...} / {`@render` figure(img)} portion
and keep only the {`#snippet` figure(image)} / {`@render` figure(...)} example so no
undeclared variable is referenced; update the example to ensure "images" is
declared or omitted accordingly.

In `@crates/biome_service/src/file_handlers/html.rs`:
- Around line 1290-1295: The current call to
ctx.builder.visit_js_source_snippet(&parse.tree(), host_file_source) inside the
is_source_level || host_file_source.is_svelte() branch causes every Svelte
embedded expression to be treated as a snippet declaration and registers their
identifiers in js_bindings; restrict this extra binding walk so it only runs for
snippet header/embed kinds (not arbitrary Svelte expressions). Change the
condition or the call site so that visit_js_source_snippet is invoked only when
the embed represents a snippet/header (e.g. check the embed kind or a
"is_snippet_header" predicate on host_file_source or parse) rather than whenever
host_file_source.is_svelte() is true, or add an argument to
visit_js_source_snippet to pass a specific embed kind so the builder only
records bindings for snippet/header embeds; update uses of is_source_level,
host_file_source.is_svelte(), ctx.builder.visit_js_source_snippet, and the
js_bindings code path accordingly.

In `@crates/biome_service/src/workspace/document/services/embedded_bindings.rs`:
- Around line 149-155: The JsAssignmentExpression branch currently only handles
simple identifier assignments (using as_js_identifier_assignment and token) and
returns early for destructured patterns, so destructured defaults like { item: {
src } = fallback } are not collected; update the
AnyJsExpression::JsAssignmentExpression arm to: if assign.left() yields an
identifier, keep the existing logic (ident/name_token/token_text_trimmed);
otherwise, traverse the left pattern (object/array patterns) to recursively
extract all identifier name_tokens and insert them into self.js_bindings (reuse
or add a small helper that walks JsObjectBindingPattern/JsArrayBindingPattern
and JsIdentifierBinding nodes), ensuring every binding found from the
destructured pattern is registered the same way as the simple identifier case.

Verify each finding against the current code and only fix it if needed.

Inline comments:
In @.changeset/shiny-moments-drive.md:
- Line 5: Update the changeset header line that currently reads "Fixed
[`#9653`](https://github.com/biomejs/biome/issues/9653):
[`noUndeclaredVariables`]..." to reference the correct issue `#9136` instead:
replace both the display number "#9653" and the URL path "/issues/9653" with
"#9136" and the corresponding "/issues/9136" so the user-facing note matches the
bug this PR actually closes; the target text to edit is the markdown fragment
starting with "Fixed [`#9653`](...)" in .changeset/shiny-moments-drive.md.

---

Duplicate comments:
In `@crates/biome_service/src/workspace/document/services/embedded_bindings.rs`:
- Around line 199-205: The JsAssignmentExpression arm currently only handles
identifier assignments via as_js_identifier_assignment() and skips nested
object/array destructured targets, so modify the
AnyJsExpression::JsAssignmentExpression branch to detect when assign.left() is
an object or array assignment (e.g., via as_any_js_assignment() helpers) and
recursively walk those assignment targets to collect inner identifier tokens
before inserting into self.js_bindings (reuse the existing token collection
logic used for identifier assignments). Ensure you keep the existing identifier
path (token.token_text_trimmed()) but add a recursive helper (e.g.,
collect_js_binding_identifiers) called from this arm to handle nested
ObjectPattern/ArrayPattern defaults; then add a unit test that exercises a
destructured default like figure({ item: { src } = fallback }) or figure([{ id }
= fallback]) to assert the inner binding is recorded.

Verify each finding against the current code and only fix it if needed.

Duplicate comments:
In `@crates/biome_service/src/workspace/document/services/embedded_bindings.rs`:
- Around line 199-205: The JsAssignmentExpression branch only handles simple
identifier assignments via as_js_identifier_assignment() and misses identifiers
inside destructured defaults (e.g., object/array patterns). Update the
AnyJsExpression::JsAssignmentExpression handling to recurse into the left-hand
pattern: if as_js_identifier_assignment() succeeds keep the current logic,
otherwise detect and walk JsObjectBindingPattern and JsArrayBindingPattern nodes
(or a helper like collect_identifiers_from_pattern) to find inner JsIdentifier
tokens (name_token()) and call
self.js_bindings.insert(token.text_trimmed_range(), token.token_text_trimmed())
for each found identifier; factor the recursion into a small helper function to
reuse elsewhere.

---

Nitpick comments:
In @.changeset/shiny-moments-drive.md:
- Around line 5-12: Replace the lead sentence that currently uses developer
jargon ("declare or reference bindings in the host grammar") with a plain,
user-facing phrasing such as "used or declared in Svelte templates" (keep the
rest of the changeset and bullet list intact); update the top-of-file lead
sentence so it reads clearly for end users (e.g., "no longer report false
positives on several Svelte template constructs that are used or declared in
Svelte templates") and ensure grammar and punctuation remain consistent with the
existing bullets.