(a) A claimant in a suit against the receiver of an abolished municipality who rejects part of the claimant’s claim is liable for the costs of the suit unless the claimant establishes the claim in an amount greater than the amount allowed by the receiver.
(b) A claimant in a suit to establish his claim because of a taxpayer protest under Section 62.085 is liable for the costs of the suit unless the claimant obtains a judgment for the full amount he asked the district court to approve.