fix(bluetooth): show connected devices without pairing bonds

BlueZ exposes `Paired` and `Connected` as separate states, but the
Bluetooth page currently conflates them in a few places.

As a result, devices that connect successfully without creating a
pairing bond can fail to appear as connected in COSMIC Settings.

This patch separates those two concepts in the UI/state handling:
- initialize a device as connected from `Connected`, not from
  `Connected && Paired`,
- do not let `Paired` updates mutate connection state,
- treat paired or currently connected devices as "known" devices in
  the main device list,
- keep `Forget` available only for actually paired devices.

## User-visible effect

This fixes cases such as the DualShock 3, where the controller is
successfully connected but does not show up as connected in the
Bluetooth settings page.

## Notes

This also matches the behavior already used in
`cosmic-applet-bluetooth`, which treats `Connected` and `Paired` as
separate states and reports a device as connected based on
`is_connected()`, not on pairing state.

A follow-up could rename the section/title to better reflect that it
now contains paired-or-connected devices rather than only paired ones.

- [x] I have disclosed use of any AI generated code in my commit
messages.
- [x] I understand these changes in full and will be able to respond to
review comments.
- [x] My change is accurately described in the commit message.
- [x] My contribution is tested and working as described.
- [x] I have read the [Developer Certificate of
Origin](https://developercertificate.org/) and certify my contribution
under its conditions.

cosmic-settings/src/pages/bluetooth/mod.rs

@@ -811,7 +811,7 @@ fn connected_devices() -> Section<crate::pages::Message> {
             page.model.selected_adapter.as_ref().map(|adapter| {
                 page.model
                     .devices_for_adapter(adapter)
-                    .any(|(_, device)| device.paired)
+                    .any(|(_, device)| device.paired || device.is_connected())
             }) == Some(true)
                 && page.model.active != Active::Disabled
         })
@@ -822,7 +822,7 @@ fn connected_devices() -> Section<crate::pages::Message> {
             page.model
                 .devices_for_adapter(page.model.selected_adapter.as_ref().unwrap())
                 .filter_map(|(path, device)| {
-                    if !device.paired {
+                    if !(device.paired || device.is_connected()) {
                         return None;
                     }
 
@@ -846,10 +846,12 @@ fn connected_devices() -> Section<crate::pages::Message> {
                                         &descriptions[device_disconnect],
                                     )
                                 }))
-                                .push(popup_button(
-                                    Some(Message::ForgetDevice(path.clone())),
-                                    &descriptions[device_forget],
-                                ))
+                                .push_maybe(device.paired.then(|| {
+                                    popup_button(
+                                        Some(Message::ForgetDevice(path.clone())),
+                                        &descriptions[device_forget],
+                                    )
+                                }))
                                 .width(Length::Fixed(200.0))
                                 .apply(widget::container)
                                 .padding(theme::spacing().space_xxs)
@@ -914,7 +916,7 @@ fn available_devices() -> Section<crate::pages::Message> {
             page.model.selected_adapter.as_ref().map(|adapter| {
                 page.model
                     .devices_for_adapter(adapter)
-                    .any(|(_, device)| !device.paired)
+                    .any(|(_, device)| !device.paired || !device.is_connected())
             }) == Some(true)
                 && page.model.active != Active::Disabled
         })
@@ -925,7 +927,7 @@ fn available_devices() -> Section<crate::pages::Message> {
             page.model
                 .devices_for_adapter(page.model.selected_adapter.as_ref().unwrap())
                 .filter_map(|(path, device)| {
-                    if device.paired {
+                    if device.paired || device.is_connected() {
                         return None::<Element<'_, Message>>;
                     }
 

subscriptions/bluetooth/src/device.rs

@@ -61,7 +61,7 @@ impl Device {
         let alias = alias.ok();
         let device_type: String = proxy.icon().await;
         let paired = proxy.device.paired().await.unwrap_or(false);
-        let enabled = if proxy.device.connected().await.unwrap_or(false) && paired {
+        let enabled = if proxy.device.connected().await.unwrap_or(false) {
             Active::Enabled
         } else {
             Active::Disabled
@@ -111,7 +111,6 @@ impl Device {
                     }
                 }
                 DeviceUpdate::Paired(paired) => {
-                    self.enabled = Active::Enabling;
                     self.paired = paired;
                 }
                 DeviceUpdate::Icon(icon) => self.icon = icon,