feat: enhance cycle forward function

[thuan1412]

Will be ready after #438

This PR enhances the behavior of the cycle query forawd by:

• if current offset is nil (new session), the forward will do nothing.
• if current offset is nil (from resume function) or the offset is 0, then clear the input.

Before

before.mov

After

Screen.Recording.2026-06-14.at.21.25.08.mov

[dmtrKovalenko]

@gustav-fff fix the merge conflict here

[gustav-fff]

[triage-bot] DIRECTED: cannot push to fork (cross-repo PR), resolution diff below.

Conflict is in lua/fff/picker_ui/picker_ui.lua only. main (#602) consolidated the three resume locals into a single resume_state table and replaced the active-picker guard with close_active_for_resume(). This branch kept the older shape and added a get_base_path capture in M.close(). Resolution: take main's structural rewrite, keep this PR's get_base_path snapshot, drop the old last_*_picker_state / last_closed_mode locals.

Run on this branch:

git fetch origin main
git merge origin/main

Then in lua/fff/picker_ui/picker_ui.lua keep these regions exactly:

--- @class fff.ResumeState
--- @field files table|nil Snapshot from last find_files session
--- @field grep table|nil Snapshot from last live_grep session
--- @field last_mode 'files'|'grep'|nil Mode of the most recently closed picker
local resume_state = { files = nil, grep = nil, last_mode = nil }

function M.close()
  if M.state.query == '' then
    layout_manager.close()
    return
  end
  if not M.state.active then return end

  local snapshot = vim.deepcopy(M.state)

  local fuzzy = require('fff.core').ensure_initialized()
  local ok, base_path = pcall(fuzzy.get_base_path)
  if ok and base_path then
    snapshot.base_path = base_path
  else
    snapshot.base_path = M.state.config and M.state.config.base_path or nil
  end

  if M.state.mode == 'grep' then
    resume_state.grep = snapshot
    resume_state.last_mode = 'grep'
  else
    resume_state.files = snapshot
    resume_state.last_mode = 'files'
  end

  layout_manager.close()
end

For M.resume, M.resume_find_files, M.resume_live_grep: take main's versions verbatim (the ones using close_active_for_resume() and resume_state.files / resume_state.grep / resume_state.last_mode). Drop all references to last_file_picker_state, last_grep_picker_state, last_closed_mode.

search_manager.lua from this PR (1ea1263) does not conflict.

Honk-Honk 🪿

[thuan1412]

Hey @dmtrKovalenko , i've resolved the conflict