Your fall-blooming shrub is groundsel bush (seepwillow), Baccharis halimifolia. It's a coastal native moving northward, with showy white female flowers in October-November. Male plants have yellowish flowers.
Caution: It can be invasive. The leggy habit can be improved by pruning into a tree form. Monitor for unwanted seedlings.
Read more here.

groundsel
Gardenia Identification and Chlorosis Correction
Rose Bush Powdery Mildew: Atomic Grow for Bloom Explosion
Identifying a Cascading "Fish Hook" Succulent: Likely Senecio or Othonna
Unidentified Orchid: General Care When ID Fails
Identifying Common Nepenthes Hybrids: deRoose Varieties and Rebecca Soper
Identifying Clerodendrum Species: Peanut Butter Plant and Red-White-Blue Plant
Identifying a Mystery Plant Near La Grange, Texas
Identifying a Mystery Sundew: Tropical vs. Temperate
Identifying Variegated Creeping Charlie (Glechoma hederacea 'Variegata')
Identifying Hare's Foot Fern (Polypodium aureum)
Podocarpus macrophyllus (Buddhist Pine) Sticky Sap = Scale Insects
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